61454086776 has 128 divisors (see below), whose sum is σ = 176333414400. Its totient is φ = 19810293120.

The previous prime is 61454086751. The next prime is 61454086781. The reversal of 61454086776 is 67768045416.

61454086776 is a `hidden beast` number, since 6 + 14 + 540 + 86 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15311746 + ... + 15315758.

It is an arithmetic number, because the mean of its divisors is an integer number (1377604800).

Almost surely, 2^61454086776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61454086776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88166707200).

61454086776 is an abundant number, since it is smaller than the sum of its proper divisors (114879327624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61454086776 is a wasteful number, since it uses less digits than its factorization.

61454086776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 61454086776 in words is "sixty-one billion, four hundred fifty-four million, eighty-six thousand, seven hundred seventy-six".